Casio ClassPad 300 PLUS - Manual (Page 375)

20050501
Linear Regression t Test
Command: LinRegTTest
Ⅺ
Description: This command treats two groups of data as paired variables ( x , y ). The method
of least squares is used to determine the most appropriate pair for the a , b
coefficients of the regression formula y = a + b . x . It also determines the
correlation coefficient and t value, and calculates the strength of the
relationship between x and y .
a : regression constant term ( y -intercept)
b : regression coefficient (slope)
n : sample size ( n > 3)
r : correlation coefficient
r 2 : coefficient of determination
Command Syntax
“
β & ρ condition”, XList, YList, Freq (or 1)
* “Freq” can be omitted. Doing so sets “1” for “Freq”.
Definition of Terms
β & ρ condition : test conditions (“≠” specifies two-tail test, “<” specifies lower
one-tail test, “>” specifies upper one-tail test.)
XList : x -data list
YList : y -data list
Freq : frequency (1 or list name)
Input Example:
LinRegTTest “
≠”,list1,list2,1
Calculation Result Output
β ≠ 0 & ρ ≠ 0 : test condition
t : t value
p : p -value
df : degrees of freedom
a : regression constant term ( y -intercept)
b : regression coefficient (slope)
s : standard error of estimation
r : correlation coefficient
r 2 : coefficient of determination
7-9-9
Tests
b =
Σ
( x – o)( y – p)
i =1
n
Σ
(x – o) 2
i =1
n
a = p – b.o t = r
n – 2
1 – r 2